Thermometric Scales 8 Commented Exercises
The thermometric scales They are fundamental in the study of temperature and its applications in various scientific and technological fields. Understand and know how to convert between the different scales, such as Celsius, Fahrenheit and Kelvin, is essential for any student or professional working with temperature measurements. In this article, we present 8 commented exercises that will help you master conversions between these scales.
Fundamentals of Thermometric Scales
Before diving into the exercises, it is important to review the basic concepts of the most common thermometric scales:
- Celsius (°C): The Celsius scale, also known as the centigrade scale, defines the freezing point of water at 0°C and the boiling point at 100°C at sea level.
- Fahrenheit(°F): On the Fahrenheit scale, the freezing point of water is set at 32°F and the boiling point is set at 212°F at sea level.
- Kelvin (K): The Kelvin scale is the absolute temperature scale, where absolute zero (0 K) corresponds to -273.15°C. Unlike the Celsius and Fahrenheit scales, the Kelvin scale does not use the degree symbol (°).
Formulas for Conversion between Thermometric Scales
To convert temperatures between the different scales, we use the following formulas:
- From Celsius to Fahrenheit: °F = (°C × 9/5) + 32
- From Fahrenheit to Celsius: °C = (°F – 32) × 5/9
- From Celsius to Kelvin: K = °C + 273.15
- From Kelvin to Celsius: °C = K – 273.15
- From Fahrenheit to Kelvin: K = (°F + 459.67) × 5/9
- From Kelvin to Fahrenheit: °F = (K × 9/5) - 459.67
Commented Thermometric Scale Conversion Exercises
Below, we present 8 commented exercises that will help you practice and secure your skills in converting temperatures between different thermometric scales.
Exercise 1: Convert 25°C to Fahrenheit
Using the Celsius to Fahrenheit conversion formula, we have:
°F = (25°C × 9/5) + 32
°F = 45 + 32
°F = 77
Therefore, 25°C is equivalent to 77 ° F.
Exercise 2: Convert 98.6°F to Celsius
Applying the conversion formula from Fahrenheit to Celsius, we obtain:
°C = (98.6°F - 32) × 5/9
°C = 66.6 × 5/9
°C = 37
Thus, 98.6°F corresponds to 37°C.
Exercise 3: Convert -40°C to Kelvin
Using the Celsius to Kelvin conversion formula, we have:
K = -40°C + 273.15
K = 233.15
Therefore, -40°C is equivalent to 233.15 K.
Exercise 4: Convert 373.15 K to Celsius
Applying the Kelvin to Celsius conversion formula, we obtain:
°C = 373.15 K – 273.15
°C = 100
Thus, 373.15 K correspond to the boiling point of water on the Celsius scale, which is 100°C.
Exercise 5: Convert -459.67°F to Kelvin
Using the Fahrenheit to Kelvin conversion formula, we have:
K = (-459.67°F + 459.67) × 5/9
K = 0 × 5/9
K = 0
Therefore, -459.67°F is equivalent to Absolute zero on the Kelvin scale, which is 0 K.
Exercise 6: Convert 310.15 K to Fahrenheit
Applying the formula for converting Kelvin to Fahrenheit, we obtain:
°F = (310.15 K × 9/5) – 459.67
°F = 558.27 – 459.67
°F = 98.6
Thus, 310.15 K correspond to the normal body temperature on theFahrenheit scale, which is 98.6 ° F.
Exercise 7: Convert 68°F to Celsius and Kelvin
First, we convert 68°F to Celsius using the corresponding formula:
°C = (68°F – 32) × 5/9
°C = 36 × 5/9
°C = 20
Then, we convert 20°C to Kelvin using the appropriate formula:
K = 20°C + 273.15
K = 293.15
Therefore, 68°F is equivalent to 20°C y 293.15 K.
Exercise 8: Convert 200 K to Celsius and Fahrenheit
First, we convert 200 K to Celsius using the corresponding formula:
°C = 200 K – 273.15
°C = -73.15
Then, we convert -73.15°C to Fahrenheit using the appropriate formula:
°F = (-73.15°C × 9/5) + 32
°F = -131.67 + 32
°F = -99.67
Therefore, 200 K is equivalent to -73.15 ° C y -99.67°F